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Finding the Fourth Proportional to 85.22, 117.59 and 46.40

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Solution

The fourth proportional to 85.22, 117.59 and 46.40 is: 64.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.22 : 117.59 = 46.40 : x
  2. Step 2: Convert to fraction form
    85.22/117.59 = 46.40/x
  3. Step 3: Cross multiply
    85.22x = 117.59 × 46.40
  4. Step 4: Simplify right side
    85.22x = 5,456.59
  5. Step 5: Solve for x
    x = 5,456.59/85.22
  6. Step 6: Final answer
    x = 64.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.